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Proof step 24 from proof plinksd+ (previous step)

dnode(md, sdt)[p] = fnode(fid), p ∈ dnode(md, sdt) ⊦ str ∈ sdt, p ∈ links(fid, dnode(md, sdt[str, tree]))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ p ∈ links(fid, tree) ↔ p ∈ tree ∧ tree[p] = fnode(fid)
Proof step 26:
dnode(md, sdt)[p] = fnode(fid), p ∈ dnode(md, sdt) ⊦ str ∈ sdt, p ∈ dnode(md, sdt[str, tree]) ∧ dnode(md, sdt[str, tree])[p] = fnode(fid)

Rule argument

spec: <toplevel> name: in-plinks seq: ⊦ p ∈ links(fid, tree) ↔ p ∈ tree ∧ tree[p] = fnode(fid) subst: [tree, fid, p] → [dnode(md, sdt[str, tree]), fid, p] flags: <all paths>

Additional information

Used terms: dnode(md, sdt[str, tree]), fid, p